Determination of first and second order instant screw parameters from landmark trajectories

Henry Joseph Sommer, III

doi:10.1115/1.2916943

Determination of first and second order instant screw parameters from landmark trajectories

Henry Joseph Sommer, III

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

Least squares methods were developed to determine instant screw axis (ISA) and angular acceleration axis (AAA) parameters in experimental and analytical studies. The algorithms provide linear relationships for rigid body velocity and acceleration descriptors based on position, velocity, and acceleration data for individual points on the body. Weighted least squares estimators are presented for statistical weighting on individual landmarks as well as for variance weighting to reduce systematic measurement effects. The methods include instantaneous second order screw motion which describes differential geometry of screw axodes. Two spatial mechanism examples provide recommendations for landmark count, distribution, and placement.

Original language	English (US)
Pages (from-to)	274-282
Number of pages	9
Journal	Journal of Mechanical Design, Transactions Of the ASME
Volume	114
Issue number	2
DOIs	https://doi.org/10.1115/1.2916943
State	Published - Jan 1 1992

All Science Journal Classification (ASJC) codes

Mechanics of Materials
Mechanical Engineering
Computer Science Applications
Computer Graphics and Computer-Aided Design

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10.1115/1.2916943

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Determination of first and second order instant screw parameters from landmark trajectories

Abstract

All Science Journal Classification (ASJC) codes

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